Determination of the Critical Points of Antiferromagnetic Ising Model with Next Nearest Neighbour Interactions on the Triangular Lattice

1991 ◽  
Vol 60 (5) ◽  
pp. 1523-1532 ◽  
Author(s):  
Seiji Miyashita ◽  
Hidetsugu Kitatani ◽  
Yasumasa Kanada
Keyword(s):  
Ising Model ◽  
Critical Points ◽  
Triangular Lattice ◽  
Nearest Neighbour ◽  
Antiferromagnetic Ising Model

Low-Temperature Behaviors of Antiferromagnetic Ising Model of Infinite-Spin on Triangular Lattice

1992 ◽  
Vol 61 (9) ◽  
pp. 3114-3124 ◽  
Author(s):  
Tsuyoshi Horiguchi ◽  
Ojiro Nagai ◽  
Seiji Miyashita ◽  
Yukio Miyatake ◽  
Yoshiki Seo
Keyword(s):  
Ising Model ◽  
Low Temperature ◽  
Triangular Lattice ◽  
Antiferromagnetic Ising Model

PHASE BOUNDARY AND UNIVERSALITY OF THE TRIANGULAR LATTICE ANTIFERROMAGNETIC ISING MODEL

1992 ◽  
Vol 06 (17) ◽  
pp. 2913-2924 ◽  
Author(s):  
JAE DONG NOH ◽  
DOOCHUL KIM
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Phase Boundary ◽  
Triangular Lattice ◽  
Central Charge ◽  
Universality Class ◽  
Zero Field ◽  
Crossover Effect ◽  
Matrix Methods ◽  
Antiferromagnetic Ising Model

Transfer matrix methods are used to locate accurate phase boundary of the triangular lattice antiferromagnetic Ising model in magnetic field. Universal quantities such as the central charge and the first few scaling dimensions are obtained along the phase boundary except near the zero field point where the crossover effect degrades convergence. Numerical results are fully consistent with the operator content of the 3-state Potts model indicating that whole phase boundary belongs to the 3-state Potts universality class.

scholarly journals Zero-temperature phase transitions of an antiferromagnetic Ising model of general spin on a triangular lattice

1997 ◽  
Vol 55 (22) ◽  
pp. 14935-14947 ◽  
Author(s):  
Chen Zeng ◽  
Christopher L. Henley
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Triangular Lattice ◽  
Temperature Phase ◽  
Zero Temperature ◽  
Antiferromagnetic Ising Model

Structure of Ground States of Antiferromagnetic Ising Model with General-Spin on Triangular Lattice

1991 ◽  
Vol 60 (5) ◽  
pp. 1513-1522 ◽  
Author(s):  
Tsuyoshi Horiguchi ◽  
Ojiro Nagai ◽  
Seiji Miyashita
Keyword(s):  
Ising Model ◽  
Triangular Lattice ◽  
Ground States ◽  
Antiferromagnetic Ising Model

Monte Carlo Simulation of the Antiferromagnetic Ising Model on the Triangular Lattice with the First and Second Neighbour Interactions

1983 ◽  
Vol 52 (5) ◽  
pp. 1531-1540 ◽  
Author(s):  
Sumiyoshi Fujiki ◽  
Keisei Shutoh ◽  
Yoshihiko Abe ◽  
Shigetoshi Katsura
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Ising Model ◽  
Triangular Lattice ◽  
Antiferromagnetic Ising Model

Antiferromagnetic Ising Model on a Triangular Lattice

1984 ◽  
Vol 53 (9) ◽  
pp. 3060-3069 ◽  
Author(s):  
Yukio Saito ◽  
Kazuhiro Igeta
Keyword(s):  
Ising Model ◽  
Triangular Lattice ◽  
Antiferromagnetic Ising Model
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